On the quadratic Fock functor

dc.contributor.author	Dhahri, Ameur
dc.date.accessioned	2011-10-13T11:43:39Z
dc.date.available	2011-10-13T11:43:39Z
dc.date.issued	2012
dc.identifier.uri	https://basepub.dauphine.fr/handle/123456789/7209
dc.language.iso	en	en
dc.subject	Heisenberg model	en
dc.subject	Hilbert spaces	en
dc.subject	Lie algebras	en
dc.subject.ddc	515	en
dc.title	On the quadratic Fock functor	en
dc.type	Article accepté pour publication ou publié
dc.description.abstracten	We prove that the quadratic second quantization of an operator p on $L^2(\mathbb{R}^d)\cap L^\infty (\mathbb{R}^d)$ is an orthogonal projection on the quadratic Fock space if and only if p =MI, where MI is a multiplication operator by a characteristic function I.	en
dc.relation.isversionofjnlname	Infinite Dimensional Analysis, Quantum Probability and Related Topics
dc.relation.isversionofjnlvol	15
dc.relation.isversionofjnlissue	2
dc.relation.isversionofjnldate	2012
dc.relation.isversionofdoi	http://dx.doi.org/10.1142/S0219025712500129
dc.identifier.urlsite	http://arxiv.org/abs/0910.3350v1	en
dc.description.sponsorshipprivate	oui	en
dc.relation.isversionofjnlpublisher	World Scientific
dc.subject.ddclabel	Analyse	en

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